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Finding the Fourth Proportional to 17,977.47, 24,809.76 and 10,019.75

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Solution

The fourth proportional to 17,977.47, 24,809.76 and 10,019.75 is: 13,827.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977.47 : 24,809.76 = 10,019.75 : x
  2. Step 2: Convert to fraction form
    17,977.47/24,809.76 = 10,019.75/x
  3. Step 3: Cross multiply
    17,977.47x = 24,809.76 × 10,019.75
  4. Step 4: Simplify right side
    17,977.47x = 248,587,654.78
  5. Step 5: Solve for x
    x = 248,587,654.78/17,977.47
  6. Step 6: Final answer
    x = 13,827.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.